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141312012 = 223293113099
BaseRepresentation
bin10000110110001…
…00000000001100
3100211220101122020
420123010000030
5242133441022
622004450140
73334063242
oct1033040014
9324811566
10141312012
1172848896
123b3a9950
132337959a
1414aa6792
15c61535c
hex86c400c

141312012 has 48 divisors (see below), whose sum is σ = 352128000. Its totient is φ = 44009280.

The previous prime is 141312001. The next prime is 141312097. The reversal of 141312012 is 210213141.

141312012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 141311982 and 141312000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4239 + ... + 17337.

It is an arithmetic number, because the mean of its divisors is an integer number (7336000).

Almost surely, 2141312012 is an apocalyptic number.

141312012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141312012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176064000).

141312012 is an abundant number, since it is smaller than the sum of its proper divisors (210815988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141312012 is a wasteful number, since it uses less digits than its factorization.

141312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13166 (or 13164 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 141312012 is about 11887.4729021773. The cubic root of 141312012 is about 520.8664204658.

Adding to 141312012 its reverse (210213141), we get a palindrome (351525153).

The spelling of 141312012 in words is "one hundred forty-one million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 13099 26198 39297 52396 78594 157188 379871 406069 759742 812138 1139613 1218207 1519484 1624276 2279226 2436414 4558452 4872828 11776001 23552002 35328003 47104004 70656006 141312012